137276 ÷ 6 
Let's see how many times 6 fits into 137276.

On to step 1:
If we divide 1 by 6, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 6

Step 2:
13 divided by 6 is 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 12 from 13, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 6

Let's proceed to step 3:
When dividing 17 by 6, we get 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 22.0
Deduct 12 from 17 and we're left with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 6

On to step 4:
If we divide 52 by 6, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 228.0
If we take 48 away from 52, we end up with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 6

Advancing to step 5:
When dividing 47 by 6, we get 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 2287.0
If we take 42 away from 47, we end up with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 6

Let's proceed to step 6:
6 can be fit into 56 9 times, resulting in a remainder of 2.
The next digit of our result is 9. 
Result so far: 22879.0
Subtract 54 from 56 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 22879.3
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 22879.33
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 22879.33, and the remainder is 0.002.